Whakaoti i te 1(3a+2b)^2-(3a-2b)^2

$$1 ( 3 a + 2 b ) ^ { 2 } - ( 3 a - 2 b ) ^ { 2 }$$

Aromātai

$$24ab$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(3a+2b\right)^{2}.

$$1\left(9a^{2}+12ab+4b^{2}\right)-\left(3a-2b\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 1 ki te 9a^{2}+12ab+4b^{2}.

$$9a^{2}+12ab+4b^{2}-\left(3a-2b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(3a-2b\right)^{2}.

$$9a^{2}+12ab+4b^{2}-\left(9a^{2}-12ab+4b^{2}\right)$$

Hei kimi i te tauaro o 9a^{2}-12ab+4b^{2}, kimihia te tauaro o ia taurangi.

$$9a^{2}+12ab+4b^{2}-9a^{2}+12ab-4b^{2}$$

Pahekotia te 9a^{2} me -9a^{2}, ka 0.

$$12ab+4b^{2}+12ab-4b^{2}$$

Pahekotia te 12ab me 12ab, ka 24ab.

$$24ab+4b^{2}-4b^{2}$$

Pahekotia te 4b^{2} me -4b^{2}, ka 0.

$$24ab$$

Whakaroha

$$24ab$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(3a+2b\right)^{2}.

$$1\left(9a^{2}+12ab+4b^{2}\right)-\left(3a-2b\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 1 ki te 9a^{2}+12ab+4b^{2}.

$$9a^{2}+12ab+4b^{2}-\left(3a-2b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(3a-2b\right)^{2}.

$$9a^{2}+12ab+4b^{2}-\left(9a^{2}-12ab+4b^{2}\right)$$

Hei kimi i te tauaro o 9a^{2}-12ab+4b^{2}, kimihia te tauaro o ia taurangi.

$$9a^{2}+12ab+4b^{2}-9a^{2}+12ab-4b^{2}$$

Pahekotia te 9a^{2} me -9a^{2}, ka 0.

$$12ab+4b^{2}+12ab-4b^{2}$$

Pahekotia te 12ab me 12ab, ka 24ab.

$$24ab+4b^{2}-4b^{2}$$

Pahekotia te 4b^{2} me -4b^{2}, ka 0.

$$24ab$$